alpha plus He-8 elastic scattering with the generator-coordinate method

The elastic alpha + He-8 phase shifts are calculated with a two-centre gene rator-coordinate method. The microscopic alpha and He-8 internal wave funct ions are defined in the harmonic-oscillator model. Bound states and resonan ces of Be-12 are obtained. Among them, a 4(+) resonance with a molecular st ructure should be observable in elastic scattering. The parity dependence o f the microscopic phase shifts is analyzed by fitting them with simple pote ntials. The odd-even effect is similar in the alpha + He-8 and alpha + He-6 phase shifts for low partial waves but decreases more rapidly with increas ing orbital momentum for alpha + He-8.